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808880413120 = 26513741126237
BaseRepresentation
bin10111100010101010000…
…01111001100111000000
32212022212021012110122021
423301111001321213000
5101223041341204440
61415332230251224
7112303545032203
oct13612501714700
92768767173567
10808880413120
112920539a659a
121109244b6b14
135b37aa18ab0
142b21592b93a
1516092c4a84a
hexbc550799c0

808880413120 has 112 divisors (see below), whose sum is σ = 2074670565408. Its totient is φ = 298611855360.

The previous prime is 808880413093. The next prime is 808880413147. The reversal of 808880413120 is 21314088808.

It is an interprime number because it is at equal distance from previous prime (808880413093) and next prime (808880413147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30816642 + ... + 30842878.

It is an arithmetic number, because the mean of its divisors is an integer number (18523844334).

Almost surely, 2808880413120 is an apocalyptic number.

808880413120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808880413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037335282704).

808880413120 is an abundant number, since it is smaller than the sum of its proper divisors (1265790152288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

808880413120 is a wasteful number, since it uses less digits than its factorization.

808880413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33678 (or 33668 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 808880413120 in words is "eight hundred eight billion, eight hundred eighty million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 7411 14822 26237 29644 37055 52474 59288 74110 96343 104948 118576 131185 148220 192686 209896 237152 262370 296440 341081 385372 419792 474304 481715 524740 592880 682162 770744 839584 963430 1049480 1185760 1364324 1541488 1679168 1705405 1926860 2098960 2371520 2728648 3082976 3410810 3853720 4197920 5457296 6165952 6821620 7707440 8395840 10914592 13643240 15414880 21829184 27286480 30829760 54572960 109145920 194442407 388884814 777769628 972212035 1555539256 1944424070 2527751291 3111078512 3888848140 5055502582 6222157024 7777696280 10111005164 12444314048 12638756455 15555392560 20222010328 25277512910 31110785120 40444020656 50555025820 62221570240 80888041312 101110051640 161776082624 202220103280 404440206560 808880413120